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Finding the Third Proportional to 19,107 and 41,493

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Solution

The third proportional to 19,107 and 41,493 is: 90,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107 : 41,493 = 41,493 : x
  2. Step 2: Convert to fraction form
    19,107/41,493 = 41,493/x
  3. Step 3: Cross multiply
    19,107x = 41,493 × 41,493
  4. Step 4: Simplify right side
    19,107x = 1,721,669,049
  5. Step 5: Solve for x
    x = 1,721,669,049/19,107
  6. Step 6: Final answer
    x = 90,106.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.